19163

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=18A023275
• Primes p such that x^67 = 2 has no solution mod p.at n=32A059330
• n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=18A067861
• Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=16A095673
• Total sum of parts of multiplicity 2 in all partitions of n.at n=31A117525
• Sophie Germain primes for which the reversal is also a Sophie Germain prime.at n=26A118573
• Prime sums of 5 positive 5th powers.at n=41A123034
• Primes congruent to 47 mod 59.at n=39A142774
• Primes congruent to 9 mod 61.at n=37A142807
• Prime numbers ending in the prime number 163.at n=7A167627
• A symmetrical triangle:q=2;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=A060187(n,m)-c(n,q)/(c(m,q)*c(n-m,q))+1.at n=46A176467
• Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=18A187379
• Intersection of A251964, A252280 and A252281.at n=32A252283
• Primes 2*p*q-2*q*r+r*s where p,q,r,s are consecutive primes.at n=14A341937
• Primes p such that the sum of digits of p and digits of the next prime q is equal to the sum of digits of p*q.at n=47A346493
• Discriminants of imaginary quadratic fields with class number 33 (negated).at n=31A351671
• a(n) is the numerator of the asymptotic density of the numbers whose number of 3-smooth divisors is n.at n=7A382491
• a(1) = 1 and a(n) is the smallest prime factor of n-th numerator of partial sum for Liouville's constant (A145571), for n > 1.at n=16A385331
• Prime numbersat n=2174